tailieunhanh - Isogeometric analysis of two–dimensional piezoelectric structures

The main advantages of the present method are capable of handling the exact geometry of conic sections and making the flexibility of refinement and degree elevation with an arbitrary continuity of basic functions. These features results in high accuracy of approximate solutions for practical applications, especially piezoelectric problems. Three numerical examples are provided to validate excellent performance of the present method. | Vietnam Journal of Mechanics, VAST, Vol. 35, No. 1 (2013), pp. 79 – 91 ISOGEOMETRIC ANALYSIS OF TWO–DIMENSIONAL PIEZOELECTRIC STRUCTURES Hoang H. Truong1 , Chien H. Thai2 , H. Nguyen-Xuan2,3 1 University of Technical Education of Ho Chi Minh City, Vietnam 2 Ton Duc Thang University, Ho Chi Minh City, Vietnam 3 University of Science Ho Chi Minh City, VNU-HCM, Vietnam Abstract. The isogeometric analysis (IGA) that integrates Computer Aided Design (CAD) and Computer Aided Engineering (CAE) is found so far the effectively numerical tool for the analysis of a variety of practical problems. In this paper, we develop further the NURBS based isogeometric analysis framework for piezoelectric structures. The method employs the NURBS basis functions in both geometry representation and analysis. The main advantages of the present method are capable of handling the exact geometry of conic sections and making the flexibility of refinement and degree elevation with an arbitrary continuity of basic functions. These features results in high accuracy of approximate solutions for practical applications, especially piezoelectric problems. Three numerical examples are provided to validate excellent performance of the present method. Keywords: NURBS, isogeometric analysis, piezoelectric materials, smart materials. 1. INTRODUCTION In recent years, the use of smart materials has become widespread and almost commonplace. The technology employed in piezoelectric applications in particular, has reached a mature level, and piezoelectric materials are frequently used in engineering applications. Piezoelectric materials transfer electric energy to mechanical energy and vice versa, and can therefore be used as either actuators or sensors, or both. Applications include ultrasonic transducers for sonar and medical purposes, compact piezoelectric motors, structural monitoring or active damping elements, and even ignition systems [1,2]. Analytical solutions which are, however, very useful as .